Download Elementary Education: Curriculum, Instruction, and

Elementary Education: Curriculum, Instruction, and Assessment (5017)
Match to Common Core State Standards
Knowledge and skills assessed by Mathematics questions are designated by their outline numbering in the test content specifications that appear on page 2.
For example, IIB1 is II Mathematics / B Instruction / 1 Numbers and Operations: natural numbers, whole numbers, integers, and rational numbers.
Common Core Mathematics Domain
Counting and Cardinality (CC)
STATISTICS and
PROBABILITY
GEOMETRY and
MEASUREMENT
ALGEBRA
NUMBER and OPERATIONS
Operations and Algebraic Thinking (OA)*
Grade Level
K
1
2
3
4
5
IIB1a, IIB1b
IIB1a, IIB1c,
IIB4a
IIB1a, IIB1b,
IIB1c, IIB4a
IIB1a, IIB1c,
IIB3a, IIB4a,
IIB5a
IIB3a, IIB4a,
IIB5a
IIB1a, IIB1b,
IIB1c
IIB1a, IIB1b,
IIB1c, IIB1d,
IIB4a
IIB1a
through
IIB1d, IIB1f
IIB1d, IIB1f
IIB1a, IIB1b,
IIB1d, IIB1f,
IIB4a, IIB4b
6
IIB1d, IIB1e
IIB1a
Numbers and Operations in Base Ten (NBT)
IIB1a through IIB1d
Number and Operations — Fractions (NF)
IIB1a, IIB1c,
IIB1g, IIB4a,
IIB4b
Ratios and Proportional Relationships (RP)
IIB2a,
IIB2b
The Number System (NS)
IIB1a,
IIB3a,
IIB7a
Expressions and Equations (EE)
Measurement and Data (MD)**
Geometry (G)
IIB5
IIB6a
IIB6b, IIB6c,
IIB6e, IIB6g
IIB6a, IIB8b, IIB10a
IIB6c, IIB6g
IIB6c, IIB6e
IIB6b, IIB6c,
IIB6e, IIB6g
Statistics and Probability (SP)
IIB6a, IB8a,
IIB8b, IB10a
IIB6a,
IIB8a,
IIB10a
IIB6b,
IIB6c, IIB6e
IIB6b, IIB6c,
IIB6e, IIB6f,
IIB7a
IIB7a
IIB9a
* The Operations and Algebraic Thinking domain also links to the conceptual category of Algebra.
**The Measurement and Data domain also links to the conceptual category of Statistics and Probability.
Key
1
• A vacant cell indicates that there are no CCSS
Standards at that grade level in that Domain.
• A dash (—) indicates that the test does not have
content specifications matching the Domain.
Elementary Education: Curriculum, Instruction, and Assessment (5017) Match to Common Core State Standards
II.Mathematics
6. Geometry and measurement: one-, two-, and three-dimensional
figures
A.Curriculum
a. Knows strategies for using standard and nonstandard tools and
appropriate units to measure the length, area, perimeter, surface
area, and volume of figures
1. Knows how to sequence examples within a lesson to support understanding of concepts
2. Knows how to sequence lessons within a curriculum
b. Knows strategies for classifying figures and for comparing and
contrasting figures
3. Knows how to plan for strategies to address common student misconceptions
c. Knows strategies for understanding the vocabulary and definitions for figures
4. Knows how to make connections within math topics, across other
disciplines, and in real-world contexts
d. Knows strategies for using nets to represent three-dimensional
figures
B.Instruction
e. Knows strategies for representing figures and for modeling them
with shapes and solids
1. Numbers and operations: natural numbers, whole numbers, integers, and rational numbers
f. Knows strategies for modeling and solving real-world problems
involving two- and three-dimensional figures
a. Knows algorithms, strategies, models, and problem situations for
adding, subtracting, multiplying, and dividing numbers
g. Knows strategies for composing, decomposing, and manipulating figures
b. Knows strategies for understanding properties of operations
c. Knows strategies for mental math, estimation, and rounding and
knows how and when to use the strategies
7. Geometry and measurement: coordinate plane
a. Knows strategies for plotting points
d. Knows strategies for comparing numbers
8. Geometry and measurement: measurement
e. Knows strategies for counting numbers
a. Knows strategies for converting measurements
f. Knows strategies for modeling relationships between decimals
and whole numbers, fractions, and percents
a
g. Knows strategies for relating a fraction to division and that
b
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means a copies of
b
2. Numbers and operations: proportional relationships
b. Knows strategies for representing time and elapsed time
9. Data, statistics, and probability: measures of center
a. Knows strategies for finding measures of center and for determining which measure is best to use in a given situation
10.Data, statistics, and probability: data
a. Knows strategies for understanding ratios, rates, and unit rates
a. Knows strategies for collecting and displaying data to answer a
statistical question
b. Knows strategies for understanding proportionality
3. Numbers and operations: Number theory
11.Data, statistics, and probability: probability
a. Knows strategies for understanding prime numbers, composite
numbers, factors, and multiples
a. Knows strategies for linking probability to the likelihood that an
event will occur
4. Algebraic thinking: expressions, equations, and formulas
C.Assessment
a. Knows strategies for writing expressions, equations, and formulas from a context
1. Knows how to design and use formative assessment to adjust
instruction
b. Knows strategies for evaluating and symbolically manipulating
expressions, equations, and formulas
2. Knows how to design, use, and interpret summative assessments
3. Knows how to recognize when misconceptions occur and strategies
for reteaching
5. Algebraic thinking: linear equations and inequalities
a. Knows strategies for writing an equation to represent a pattern
4. Knows how to select and use appropriate assessments (e.g., observations, traditional, standardized) to evaluate student learning
b. Knows strategies for writing and solving linear equations and
inequalities
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